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Purdue faculty dedicate countless hours to exploring the frontiers of their respective fields, pushing the boundaries of knowledge and contributing to the ever-evolving landscape of academia. To ...

On Monday, the blockchain monitoring firm PeckShield sent an ominous tweet directed at the crypto lending platform Euler Finance, simply saying: “Hi […] you may want to take a look.” What the firm was ...

For centuries, mathematicians have sought to understand and model the motion of fluids. The equations that describe how ripples crease the surface of a pond have also helped researchers to predict the ...

A simple MATLAB DG code for 1D Euler Equation, including the TVB Limiter and pp Limiter. Three types of fluxes are tested: L-F, HLL and HLLC. The test example is the "test 3" on Toro's ”Riemann Solver ...

GPUs have become a household name in High Performance Computing (HPC) systems over the last 15 years. However, programming GPUs is still largely a manual and arduous task, which requires expert ...

Abstract: An interpretation is given for the Euler-Lagrange equation of optimal control, when the latter contains singularities. This is the case when in an optimal control problem the dynamics and/or ...